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1. Let F : L(R) L(R) be the Fourier transform. That is: 1 (2) n/2 Prove that the spectrum o(F) = {-1, 1, i,

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1. Let F : L(R) L(R) be the Fourier transform. That is: 1 (2) n/2 Prove that the spectrum o(F) = {-1, 1, i, -i}. F(f): = L Rn -i (x,x) f(x) dx .

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